The capacity of a pure capacitor is $1 \, F$. In $DC$ circuits,its effective resistance will be

The switch in the circuit shifts from $1$ to $2$ when $V_C > 2V/3$ and goes back to $1$ from $2$ when $V_C < V/3$. The voltmeter reads the voltage as plotted. What is the period $T$ of the waveform in terms of $R$ and $C$?

In the transient circuit shown,the time constant of the circuit is:

In the circuit shown,when the key $K$ is pressed at time $t = 0$,which of the following statements about current $I$ in the resistor $AB$ is true?

In the transient current circuit shown,the time constant is

An initially uncharged capacitor $C$ is being charged by a battery of emf $E$ through a resistance $R$. Up to the instant when the capacitor is charged to a potential $E/2$, the ratio of the work done by the battery to the heat dissipated by the resistor is given by